trigonometry

A Wheel of radius 14in. is rotating 0.5 rad/sec. What is the linear speed v, the angular speed in RPM ( rev per min), and the angular speed in deg/sec?

  1. 👍 0
  2. 👎 0
  3. 👁 954
  1. v = 2π*14in/rev * (.5/2π)rev/s = 28 in/s

    .5rad/s * 1rev/2πrad * 60s/min = 4.77 rev/min

    .5rad/s * 180°/πrad = 90/π °/s

    1. 👍 0
    2. 👎 0
  2. The velocity answer is incorrect. It should be 7in/sec.

    v=14in(30rad/1min)=420in/1min(1min/60sec)=420in/60sec=7in/sec

    The revolutions per minute and degrees per second are correct. But to further the answer to an approximate degree it would be about 28.648 degrees per second.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A 4.50-kg wheel that is 34.5 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the angular acceleration of the wheel? A) 0.616 rad/s 2 B) 22.5

  2. physics

    A stationary bicycle is raised off the ground, and its front wheel (m = 1.3 kg) is rotating at an angular velocity of 14.0 rad/s (see the drawing). The front brake is then applied for 3.0 s, and the wheel slows down to 2.7 rad/s.

  3. Physics Angular Momentum

    A bullet with a mass m = 4.83 g and initial speed of 330 m/s passes through a wheel which is initially at rest as in the figure. The wheel is a solid disk with mass M = 2.29 kg and radius R = 18.6 cm The wheel rotates freely about

  4. trigonometry

    The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular

  1. Physics 1 (Calc Based)

    At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of –0.40 rad/s^2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

  2. physics

    a wheel is rotating at 30 rev/min. The angular velocity of the wheel is a. 2pi^2 rad/s b. 2pi rad/s c. 2 rad/s d. pi/2 rad/s e. pi rad/s explain please!

  3. physics

    A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the

  4. physics

    A rotating wheel requires 7.00 s to rotate 28.0 revolutions. Its angular velocity at the end of the 7.00-s interval is 97.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel? rad/s2

  1. physics

    a remote controlled car's wheel accelerates at 22.4 rad/s^2. if the wheel begins with an angular speed of 10.8 rad/s what is the wheel's angular speed after exactly 3 full turns?

  2. Physics!

    A wheel rotates with a constant angular acceleration of 3.50 rad/s2. The angular speed of the wheel is 2.00 rad/s at t = 0. If the radius of the wheel is doubled, Are the following statements affected? If so, in what way? (Select

  3. math

    1.A flywheel is rotating at 7 rad/sec. It has a 15-cm diameter. What is the speed of a point on its rim, in cm/min? 2.A wheel is rotating at 3 radians/sec. The wheel has a 30 cm radius. What is the speed of a point on its rim, in

  4. Physics

    A Ferris wheel, rotating initially at an angular speed of 0.500 rad/s, accelerates over a 7.00-s interval at a rate of 0.04 rad/s^2. What angular displacement does the Ferris wheel undergo in this 7-s interval?

You can view more similar questions or ask a new question.